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Finding the Fourth Proportional to 77.88, 116.04 and 71.76

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Solution

The fourth proportional to 77.88, 116.04 and 71.76 is: 106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.88 : 116.04 = 71.76 : x
  2. Step 2: Convert to fraction form
    77.88/116.04 = 71.76/x
  3. Step 3: Cross multiply
    77.88x = 116.04 × 71.76
  4. Step 4: Simplify right side
    77.88x = 8,327.03
  5. Step 5: Solve for x
    x = 8,327.03/77.88
  6. Step 6: Final answer
    x = 106.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.